Someone ate the last slice of cake from the fridge. Only Ethan, Liam, Mira, and Sam had access to the kitchen. One of them ate it. Exactly one of them is lying.

1. Ethan says: "Neither Mira nor I ate the cake."
2. Liam says: "Ethan did it."
3. Mira says: "Sam didn't do it."
4. Sam says: "Liam ate the cake."